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<u>Given</u>:
Given that there are 10 marbles in a bag. 4 are blue, 3 are black, 2 are white and 1 is red.
The marbles are selected by not replacing the drawn ones.
We need to the probability of selected a black marble and then a white marble without replacement.
<u>Probability</u>:
Let B denote the black marble.
Let W denote the white marble.
The probability of selecting a black marble is
The probability of selecting a white marble without replacement is
The probability of selecting a black marble and then a white marble without replacement is given by
Substituting the values, we get;
Thus, the probability of selecting a black marble and then a white marble without replacement is